Complete Nevanlinna-Pick kernels, the Schwarz lemma and the Schur algorithm
Functional Analysis
2023-12-05 v1
Abstract
We investigate the Schwarz lemma and the Schur algorithm for elements in the unit ball of the multiplier algebra of a reproducing kernel Hilbert space on the open unit ball whose kernel satisfies the complete Nevanlinna-Pick property. This paper also explores the Poincar\'e contractivity for elements in the unit ball of the multiplier algebra of a reproducing kernel Hilbert space whose kernel satisfies the property mentioned above.
Cite
@article{arxiv.2312.01287,
title = {Complete Nevanlinna-Pick kernels, the Schwarz lemma and the Schur algorithm},
author = {Daniel Alpay and Tirthankar Bhattacharyya and Abhay Jindal and Poornendu Kumar},
journal= {arXiv preprint arXiv:2312.01287},
year = {2023}
}